A classification of spherical conjugacy classes

TL;DR

This paper classifies the spherical conjugacy classes within simple algebraic groups over algebraically closed fields, providing a comprehensive understanding of their structure and properties.

Contribution

It offers a complete classification of spherical conjugacy classes in simple algebraic groups, a fundamental step in understanding their geometric and algebraic properties.

Findings

Complete classification of spherical conjugacy classes

Identification of key structural properties

Foundation for further geometric analysis

Abstract

Let G be a simple algebraic group over an algebraically closed field k. We classify the spherical conjugacy classes of G.